feat(claude-code): wire web_app variable through to agentapi module (#831)

Follow-up to #764.

Now that the `agentapi` module `v2.4.0` is published with `web_app`
support, this PR completes the wiring:

## Changes

### `claude-code/main.tf`
- Bump agentapi dependency from `v2.3.0` → `v2.4.0`
- Replace `# TODO: pass web_app = var.web_app once agentapi module is
published with web_app support` with `web_app = var.web_app`

### `claude-code/README.md`
- Bump version references from `4.9.0` → `4.9.1`

## Result

Setting `web_app = false` on the `claude-code` module now correctly
passes through to the `agentapi` module, hiding the web UI app icon from
the Coder dashboard while still running AgentAPI. The task-safe behavior
(auto-enabling for `coder_ai_task`) is handled by the `agentapi` module.

---------

Co-authored-by: blink-so[bot] <211532188+blink-so[bot]@users.noreply.github.com>

registry/coder/modules/claude-code/README.md

@@ -13,7 +13,7 @@ Run the [Claude Code](https://docs.anthropic.com/en/docs/agents-and-tools/claude
 ```tf
 module "claude-code" {
   source         = "registry.coder.com/coder/claude-code/coder"
-  version        = "4.9.0"
+  version        = "4.9.1"
   agent_id       = coder_agent.main.id
   workdir        = "/home/coder/project"
   claude_api_key = "xxxx-xxxxx-xxxx"
@@ -60,7 +60,7 @@ By default, when `enable_boundary = true`, the module uses `coder boundary` subc
 ```tf
 module "claude-code" {
   source          = "registry.coder.com/coder/claude-code/coder"
-  version         = "4.9.0"
+  version         = "4.9.1"
   agent_id        = coder_agent.main.id
   workdir         = "/home/coder/project"
   enable_boundary = true
@@ -81,7 +81,7 @@ For tasks integration with AI Bridge, add `enable_aibridge = true` to the [Usage
 ```tf
 module "claude-code" {
   source          = "registry.coder.com/coder/claude-code/coder"
-  version         = "4.9.0"
+  version         = "4.9.1"
   agent_id        = coder_agent.main.id
   workdir         = "/home/coder/project"
   enable_aibridge = true
@@ -110,7 +110,7 @@ data "coder_task" "me" {}
 
 module "claude-code" {
   source    = "registry.coder.com/coder/claude-code/coder"
-  version   = "4.9.0"
+  version   = "4.9.1"
   agent_id  = coder_agent.main.id
   workdir   = "/home/coder/project"
   ai_prompt = data.coder_task.me.prompt
@@ -133,7 +133,7 @@ This example shows additional configuration options for version pinning, custom
 ```tf
 module "claude-code" {
   source   = "registry.coder.com/coder/claude-code/coder"
-  version  = "4.9.0"
+  version  = "4.9.1"
   agent_id = coder_agent.main.id
   workdir  = "/home/coder/project"
 
@@ -189,7 +189,7 @@ Run and configure Claude Code as a standalone CLI in your workspace.
 ```tf
 module "claude-code" {
   source              = "registry.coder.com/coder/claude-code/coder"
-  version             = "4.9.0"
+  version             = "4.9.1"
   agent_id            = coder_agent.main.id
   workdir             = "/home/coder/project"
   install_claude_code = true
@@ -211,7 +211,7 @@ variable "claude_code_oauth_token" {
 
 module "claude-code" {
   source                  = "registry.coder.com/coder/claude-code/coder"
-  version                 = "4.9.0"
+  version                 = "4.9.1"
   agent_id                = coder_agent.main.id
   workdir                 = "/home/coder/project"
   claude_code_oauth_token = var.claude_code_oauth_token
@@ -284,7 +284,7 @@ resource "coder_env" "bedrock_api_key" {
 
 module "claude-code" {
   source   = "registry.coder.com/coder/claude-code/coder"
-  version  = "4.9.0"
+  version  = "4.9.1"
   agent_id = coder_agent.main.id
   workdir  = "/home/coder/project"
   model    = "global.anthropic.claude-sonnet-4-5-20250929-v1:0"
@@ -341,7 +341,7 @@ resource "coder_env" "google_application_credentials" {
 
 module "claude-code" {
   source   = "registry.coder.com/coder/claude-code/coder"
-  version  = "4.9.0"
+  version  = "4.9.1"
   agent_id = coder_agent.main.id
   workdir  = "/home/coder/project"
   model    = "claude-sonnet-4@20250514"

registry/coder/modules/claude-code/main.tf

@@ -368,10 +368,10 @@ locals {
 
 module "agentapi" {
   source  = "registry.coder.com/coder/agentapi/coder"
-  version = "2.3.0"
+  version = "2.4.0"
 
-  agent_id = var.agent_id
-  # TODO: pass web_app = var.web_app once agentapi module is published with web_app support
+  agent_id                 = var.agent_id
+  web_app                  = var.web_app
   web_app_slug             = local.app_slug
   web_app_order            = var.order
   web_app_group            = var.group